Exponent Rule Quick Practice

Front

What is the exponent rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents.

Front

What is the exponent rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents.

Front

Simplify the expression: \( \frac{x^{-2}}{x^{-10}} \)

Back

\( x^8 \)

Front

Simplify the expression: \( \frac{6b}{2b^3} \)

Back

\( \frac{3}{b^2} \)

Front

What is the result of multiplying \( (6x^2)(-3x^5) \)?

Back

-18x^7

Front

What happens to the exponent when raising a power to another power?

Back

Multiply the exponents.

Front

What is the result of \( (x^3)^4 \)?

Back

\( x^{12} \)

Front

If \( a^m \cdot a^n \) is simplified, what is the result?

Back

\( a^{m+n} \)

Front

If \( a^m \div a^n \) is simplified, what is the result?

Back

\( a^{m-n} \)

Front

What is the value of \( x^0 \) for any non-zero x?

Back

1